Skip to Main Content

Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Convergence rates of iterative treatments of partial differential equations
HTML articles powered by AMS MathViewer

by Stanley P. Frankel PDF
Math. Comp. 4 (1950), 65-75 Request permission
References
  • D. R. Hartree, The ENIAC, an electronic computing machine, Nature 158 (1946), 500–506. MR 18978, DOI 10.1038/158500a0
  • R. V. Southwell, Relaxation Methods in Engineering Science, Oxford, 1940. E. T. Whittaker & G. Robinson, The Calculus of Observations, London and Glasgow, 1932. G. Shortley, R. Weller, & B. Fried, “Numerical solution of Laplace’s and Poisson ’s equations with applications to photoelasticity and torsion,” Ohio State University, Studies, Engineering Series, Bull. no. 107, 1942. L. F. Richardson, “The approximate arithmetical solution by finite differences of physical problems involving differential equations, with an application to the stresses in a masonry dam,” R. Soc., London, Phil. Trans. s. A, v. 210, 1911, p. 307-357. “How to solve differential equations approximately by arithmetic,” Math. Gazette, v. 12, p. 415-421, 1925. R. Courant, “Über partielle Differenzengleichungen,” Congresso Internazionale dei Matematici, Atti, Bologna, v. 3, 1930, p. 83-89.
  • Hans Lewy, On the convergence of solutions of difference equations, Studies and Essays Presented to R. Courant on his 60th Birthday, January 8, 1948, Interscience Publishers, Inc., New York, 1948, pp. 211–214. MR 0022988
  • H. Liebmann, “Die angenäherte Ermittelung harmonischer Funktionen und konformer Abbildungen,” Bayer. Akad. Wiss., math.-phys. Klasse, Sitz., 1918, p. 385-416 Further references to the Liebmann method are cited in footnote 1 of Shortley, Weller & Fried. See also MTAC v. 3, p. 350, footnote 3.
Similar Articles
  • Retrieve articles in Mathematics of Computation with MSC: 65.0X
  • Retrieve articles in all journals with MSC: 65.0X
Additional Information
  • © Copyright 1950 American Mathematical Society
  • Journal: Math. Comp. 4 (1950), 65-75
  • MSC: Primary 65.0X
  • DOI: https://doi.org/10.1090/S0025-5718-1950-0046149-3
  • MathSciNet review: 0046149